Nicolai A. Vasiliev

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Nicolai Alexandrovich Vasiliev (

multi-valued logics
.

Early years

Vasiliev was born on June 29

Nikolai Lobachevsky
.

Wanting to be a psychologist, Vasiliev studied at the medical faculty and the historico-philological faculty of

Kazan University (1906), where he was offered the position of privat-dozent in 1910.[1]

As a university student, Vasiliev was enthusiastic about

.

Work in logic

Although Vasiliev outlined an abstract to the article on the "logic of relatives" by Charles Sanders Peirce as early as in 1897, it was only in 1908 that he entirely devoted himself to logic.

On May 18, 1910 Vasiliev presented a lecture (published in October that same year) "On Partial Judgements, on the Triangle of Opposites, on the Law of Excluded Third" in which he put forward for the first time ever the idea of (non-Aristotelian) logic, free of the laws of excluded middle and contradiction. Reasoning by analogy with the "imaginary" geometry of Lobachevsky, Vasiliev called his novel logic "imaginary", for he assumed it was valid for the worlds where the above-mentioned laws did not hold, worlds with beings having other types of sensations. He distinguished levels of logical reasoning, and introduced the notion of metalogic.

Vasiliev spent 1912-13 in

non-Aristotelian logic
using the concepts, and even the manner of reasoning, common to
Aristotelian logic. He was aware of the achievement in mathematical logic (and even carefully studied Ernst Schröder
's works) but did not make an attempt to formalise "imaginary" logic.

His only work in a foreign language (English) - a concise abstract of his "imaginary logic" - was published in Naples in 1924.

Late years

In 1914, when

Bolshevik administration. This act aggravated his ailment: Vasiliev spent most of the following 20 years in a mental hospital, thus rescued from the Stalin regime. He died on December 31, 1940. The place where he was buried is unknown.[2]

The pioneer ideas of Vasiliev were rediscovered in the early 1960s by

multi-valued logic. The informal style and conceptual riches of Vasiliev's works make them especially valuable. In 2012 an international conference on Vasiliev's work was held in Moscow where a number of important modern paraconsistent logicians contributed.[3]

Bibliography

Works
Studies

See also

Triangle of opposition

References

  1. ^ Bazhanov, Valentin. "The Origins And Becoming Of Non-Classical Logic In Russia". Staff.ulsu.ru. Mentis-Verlag. Retrieved 20 September 2017.
  2. ^ Bazhanov, Valentin. "Vasiliev and his Imaginary Logic". Retrieved 21 September 2017.
  3. ^ "2012 Vasiliev Conference". Archived from the original on April 18, 2013.

External references

Philosophy Documentation Center website Non-Classical Stems from Classical: N. A. Vasiliev’s Approach to Logic and his Reassessment of the Square of Opposition, book review by Valentin A. Bazhanov (2008